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Integrals and iterated integrals and Borwein-Chen-Dilcher polynomials

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorBello Hernández, Manuel
dc.contributor.authorPijeira Cabrera, Héctor Esteban
dc.contributor.authorRivero Castillo, Daniel Alberto
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2022-01-25T13:02:45Z
dc.date.available2022-01-25T13:02:45Z
dc.date.issued2020-10
dc.description.abstractWe study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein–Chen–Dilcher’s polynomials play an important role in this issue. For these polynomials we find their strong asymptotics and give the limit measure of their zero distribution. We apply these results to describe the zero asymptotic distribution of iterated integrals of ultraspherical polynomials with parameters (2α+1)/2, α∈Z+.en
dc.description.sponsorshipResearch partially supported by Ministry of Economy and Competitiveness of Spain, under Grant MTM2014-54043-P. Héctor Pijeira-Cabrera: Research partially supported by Ministry of Science, Innovation and Universities of Spain, under Grant PGC2018-096504-B-C33.en
dc.format.extent19
dc.identifier.bibliographicCitationBello-Hernández, M., Pijeira-Cabrera, H., & Rivero-Castillo, D. (2020). Iterated Integrals and Borwein–Chen–Dilcher Polynomials. Mediterranean Journal of Mathematics, 17(5), 148.en
dc.identifier.doihttps://doi.org/10.1007/s00009-020-01571-x
dc.identifier.issn1660-5446
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue5
dc.identifier.publicationlastpage19
dc.identifier.publicationtitleMediterranean Journal of Mathematicsen
dc.identifier.publicationvolume17
dc.identifier.urihttps://hdl.handle.net/10016/33957
dc.identifier.uxxiAR/0000027590
dc.language.isoengen
dc.publisherSpringer Natureen
dc.relation.projectIDGobierno de España. PGC2018-096504-B-C33es
dc.relation.projectIDGobierno de España. MTM2014-54043-Pes
dc.rights© Springer Nature Switzerland AG 2020.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherAsymptotic behaviouren
dc.subject.otherIterated integralsen
dc.subject.otherOrthogonal polynomialsen
dc.subject.otherZeros of polynomialsen
dc.titleIntegrals and iterated integrals and Borwein-Chen-Dilcher polynomialsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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